A photon of energy `12.09 eV` is completely absorbed by a hydrogen atom initially in the ground state. The quantum number of excited state is
A. 4
B. 5
C. 3
D. 2
Correct Answer - B
S=1
t=0
`u=-1/2,1/2`
No of subshell=1 , No of orbital=2
No of electrons =8
S=2
t=0,3
`u=-1/2,1/2`(for t=0)
u=-2,-1,0,+1,+2(for t=3)
No of subshell=2, No of orbital=7
No...
Correct Answer - C
Here ,`n_1=1` and `n_2=4`
Energy of photon absorbed, `e=-e_2-e_1`
`E_n=-(13.6)/n^2eV`
Since,
`E_2-E_1=-(13.6)/(4)^2-(-(13.6)/((1)^2))`
`=-(13.6)/(16)+13.6=(13.6xx15)/(16)eV`
`=12.75eV=12.75xx1.6xx10^(-19)J=20.4xx10^(-19)J`
`E_2-E_1=(hc)/(lambda)`
`therefore lambda =(hc)/(E_2-E_1)=(6.6xx10^(-34)xx3xx10^(8))/(20.4xx10^(10^(-19)))`
`=9.70xx10^(-8)m=970xx10^(-10)=970Å`.
Correct Answer - D
In ground state , kinetic energy `= 13.6 eV`, Potential energy `= -27.2 eV`
In first excited state, kinetic energy `= 3.4 eV`, Potential energy `= -...
Correct Answer - B
`E_(1) = (hc)/(lambda) [(1)/(n_(1)^(2)) - (1)/(n_(2)^(2))]`
For second excited state to first excited state
`E_(1) = (hc)/(lambda) [1/4 - 1/9] rArr (hc)/(lambda) ((5)/(36))`
For first excited state...